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2002 LAPCOD Meeting
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Assimilation of simulated float data into the viscid Lagrangian shallow water model
Jodi L. Mead, Andrew F. Bennett
Boise State University
mead@math.boisestate.edu(Abstract received 10/11/2002 for session D)
ABSTRACT
Our goal is to accurately assimilate Lagrangian data into numerical ocean circulation models, including open ocean models. The forward model is written in Lagrangian coordinates, thus Lagrangian data does not need to be interpolated for assimilation. We shall in due course consider open ocean problems for the primitive equations, since these are well posed if the domain is Lagrangian. The boundaries of such domains are simple in Lagrangian coordinates. The expense of this approach is a highly nonlinear viscous stress divergence. At the 2001 LAPCOD meeting we showed that the forward viscous Lagrangian shallow water model in double periodic domains can reproduce the eddy field for a time period over a hundred days, with grid Reynolds numbers as large as 5 but not 10.
In previous work (Mead and Bennett 2000) we used variational data assimilation to assimilate simulated float data into the inviscid Lagrangian water model for time periods of a few hours. Here we will show assimilation results from twin experiments with the viscous Lagrangian model for time periods on the order of two weeks.
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2002 LAPCOD Meeting, Key Largo, Florida, December 12-16, 2000